Don't make this any more complicated than necessary. My high school wrestlers bench and front squat their bodyweight for at least 5 within 3 months, and they're far from "strong." It's all relative, but you need to just be consistent.
Full body training sessions 3x/week. Jump and throw medicine balls for power. Pick a push, a pull, and a lower body lift. Make every rep absolutely perfect with a full range of motion. 3-5 sets of each for 5-8 reps. Add 5 pounds as you can without sacrificing technique.
Run sprints, bike sprints, run up a hill, or whatever for 10-20 seconds. If you have a heart rate monitor, rest until it comes down to 130 or so, then repeat. Add 1 each week. If you don't have a HR monitor, rest until you can cover the same distance in the same amount of time. If you are slower on the next sprint, you need to rest longer.
Burpees and deck of cards and whatever is just something to get tired for the sake of getting tired. You'd get the same effect if someone chased you around with a stick. Get better, not just fatigued.
Remember, all S&C is super important but it's just GPP. Use your wrestling, muay thai, boxing, BJJ time to get better at your skills and your conditioning will naturally improve as well. No way to mimic it.